214968000
214,968,000 is an even composite number composed of five prime numbers multiplied together.
214968000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 214968000:
26 × 3 × 53 × 132 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 13 × 53)See below for interesting mathematical facts about the number 214968000 from the Numbermatics database.
Names of 214968000
- Cardinal: 214968000 can be written as Two hundred fourteen million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 2.14968 × 108
Factors of 214968000
Divisors of 214968000
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 53 60 64 65 75 78 80 96 100 104 106 120 125 130 150 156 159 160 169 192 195 200 208 212 240 250 260 265 300 312 318 320 325 338 375 390 400 416 424 480 500 507 520 530 600 624 636 650 676 689 750 780 795 800 832 845 848 960 975 1000 1014 1040 1060 1200 1248 1272 1300 1325 1352 1378 1500 1560 1590 1600 1625 1690 1696 1950 2000 2028 2067 2080 2120 2400 2496 2535 2544 2600 2650 2704 2756 3000 3120 3180 3250 3380 3392 3445 3900 3975 4000 4056 4134 4160 4225 4240 4800 4875 5070 5088 5200 5300 5408 5512 6000 6240 6360 6500 6625 6760 6890 7800 7950 8000 8112 8268 8450 8480 8957 9750 10140 10176 10335 10400 10600 10816 11024 12000 12480 12675 12720 13000 13250 13520 13780 15600 15900 16224 16536 16900 16960 17225 17914 19500 19875 20280 20670 20800 21125 21200 22048 24000 25350 25440 26000 26500 26871 27040 27560 31200 31800 32448 33072 33800 34450 35828 39000 39750 40560 41340 42250 42400 44096 44785 50700 50880 51675 52000 53000 53742 54080 55120 62400 63375 63600 66144 67600 68900 71656 78000 79500 81120 82680 84500 84800 86125 89570 101400 103350 104000 106000 107484 110240 126750 127200 132288 134355 135200 137800 143312 156000 159000 162240 165360 169000 172250 179140 202800 206700 212000 214968 220480 223925 253500 254400 258375 268710 270400 275600 286624 312000 318000 330720 338000 344500 358280 405600 413400 424000 429936 447850 507000 516750 537420 551200 573248 636000 661440 671775 676000 689000 716560 811200 826800 859872 895700 1014000 1033500 1074840 1102400 1119625 1272000 1343550 1352000 1378000 1433120 1653600 1719744 1791400 2028000 2067000 2149680 2239250 2687100 2756000 2866240 3307200 3358875 3582800 4056000 4134000 4299360 4478500 5374200 5512000 6717750 7165600 8268000 8598720 8957000 10748400 13435500 14331200 16536000 17914000 21496800 26871000 35828000 42993600 53742000 71656000 107484000 214968000
- Sum of all divisors σ(n): 783128736
- Sum of proper divisors (its aliquot sum) s(n): 568160736
- 214968000 is an abundant number, because the sum of its proper divisors (568160736) is greater than itself. Its abundance is 353192736
Bases of 214968000
- Binary: 11001101000000100110110000002
- Hexadecimal: 0xCD026C0
- Base-36: 3JZIDC
Squares and roots of 214968000
- 214968000 squared (2149680002) is 46211241024000000
- 214968000 cubed (2149680003) is 9933938060447232000000000
-
The
square root of 214968000 is 14661.7870670665 -
The
cube root of 214968000 is 599.0429185815
Scales and comparisons
How big is 214968000?- 214,968,000 seconds is equal to 6 years, 43 weeks, 3 days, 1 hour, 20 minutes.
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To count from 1 to 214,968,000 would take you about ten years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 214968000 cubic inches would be around 49.9 feet tall.
Recreational maths with 214968000
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